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2073341952 = 21232115113
BaseRepresentation
bin111101110010100…
…1011000000000000
312100111100200110200
41323211023000000
513221233420302
6541422525200
7102244054503
oct17345130000
95314320420
102073341952
11974390550
1249a436800
13270716076
1415950b13a
15c204d81c
hex7b94b000

2073341952 has 156 divisors (see below), whose sum is σ = 6534648744. Its totient is φ = 628162560.

The previous prime is 2073341917. The next prime is 2073341957. The reversal of 2073341952 is 2591433702.

2073341952 is a `hidden beast` number, since 207 + 33 + 419 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073341957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402948 + ... + 408060.

It is an arithmetic number, because the mean of its divisors is an integer number (41888774).

Almost surely, 22073341952 is an apocalyptic number.

2073341952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267324372).

2073341952 is an abundant number, since it is smaller than the sum of its proper divisors (4461306792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2073341952 is a wasteful number, since it uses less digits than its factorization.

2073341952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2073341952 is about 45533.9648174854. The cubic root of 2073341952 is about 1275.1373840426.

The spelling of 2073341952 in words is "two billion, seventy-three million, three hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4096 4224 4608 5113 5632 6144 6336 8448 9216 10226 11264 12288 12672 15339 16896 18432 20452 22528 25344 30678 33792 36864 40904 45056 46017 50688 56243 61356 67584 81808 92034 101376 112486 122712 135168 163616 168729 184068 202752 224972 245424 327232 337458 368136 405504 449944 490848 506187 654464 674916 736272 899888 981696 1012374 1308928 1349832 1472544 1799776 1963392 2024748 2617856 2699664 2945088 3599552 3926784 4049496 5235712 5399328 5890176 7199104 7853568 8098992 10471424 10798656 11780352 14398208 15707136 16197984 20942848 21597312 23560704 28796416 31414272 32395968 43194624 47121408 57592832 62828544 64791936 86389248 94242816 115185664 129583872 172778496 188485632 230371328 259167744 345556992 518335488 691113984 1036670976 2073341952