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145945464 = 23373753443
BaseRepresentation
bin10001011001011…
…11001101111000
3101011121210112120
420230233031320
5244330223324
622252041240
73421341660
oct1054571570
9334553476
10145945464
1175422a95
1240a63220
132430c582
14155511a0
15cc2d179
hex8b2f378

145945464 has 128 divisors (see below), whose sum is σ = 437322240. Its totient is φ = 39716352.

The previous prime is 145945463. The next prime is 145945477. The reversal of 145945464 is 464549541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145945463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329227 + ... + 329669.

It is an arithmetic number, because the mean of its divisors is an integer number (3416580).

Almost surely, 2145945464 is an apocalyptic number.

145945464 is a gapful number since it is divisible by the number (14) 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 145945464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218661120).

145945464 is an abundant number, since it is smaller than the sum of its proper divisors (291376776).

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

145945464 is a wasteful number, since it uses less digits than its factorization.

145945464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 545 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 145945464 is about 12080.7890470780. The cubic root of 145945464 is about 526.4981714551.

The spelling of 145945464 in words is "one hundred forty-five million, nine hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 53 56 74 84 106 111 148 159 168 212 222 259 296 318 371 424 443 444 518 636 742 777 886 888 1036 1113 1272 1329 1484 1554 1772 1961 2072 2226 2658 2968 3101 3108 3544 3922 4452 5316 5883 6202 6216 7844 8904 9303 10632 11766 12404 13727 15688 16391 18606 23479 23532 24808 27454 32782 37212 41181 46958 47064 49173 54908 65564 70437 74424 82362 93916 98346 109816 114737 131128 140874 164353 164724 187832 196692 229474 281748 328706 329448 344211 393384 458948 493059 563496 657412 688422 868723 917896 986118 1314824 1376844 1737446 1972236 2606169 2753688 3474892 3944472 5212338 6081061 6949784 10424676 12162122 18243183 20849352 24324244 36486366 48648488 72972732 145945464