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552861696 = 21831937
BaseRepresentation
bin100000111101000…
…000000000000000
31102112022021200010
4200331000000000
52113013033241
6130505424520
716462150452
oct4075000000
91375267603
10552861696
112640921a2
1213519b140
138a702bca
14535d62d2
153380ad16
hex20f40000

552861696 has 152 divisors (see below), whose sum is σ = 1593832480. Its totient is φ = 169869312.

The previous prime is 552861679. The next prime is 552861697. The reversal of 552861696 is 696168255.

It is a tau number, because it is divible by the number of its divisors (152).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552861697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14942190 + ... + 14942226.

It is an arithmetic number, because the mean of its divisors is an integer number (10485740).

Almost surely, 2552861696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796916240).

552861696 is an abundant number, since it is smaller than the sum of its proper divisors (1040970784).

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

552861696 is an frugal number, since it uses more digits than its factorization.

552861696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 552861696 is about 23513.0112065639. The cubic root of 552861696 is about 820.7398122064.

The spelling of 552861696 in words is "five hundred fifty-two million, eight hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 128 148 152 192 222 228 256 296 304 384 444 456 512 592 608 703 768 888 912 1024 1184 1216 1406 1536 1776 1824 2048 2109 2368 2432 2812 3072 3552 3648 4096 4218 4736 4864 5624 6144 7104 7296 8192 8436 9472 9728 11248 12288 14208 14592 16384 16872 18944 19456 22496 24576 28416 29184 32768 33744 37888 38912 44992 49152 56832 58368 65536 67488 75776 77824 89984 98304 113664 116736 131072 134976 151552 155648 179968 196608 227328 233472 262144 269952 303104 311296 359936 393216 454656 466944 539904 606208 622592 719872 786432 909312 933888 1079808 1212416 1245184 1439744 1818624 1867776 2159616 2424832 2490368 2879488 3637248 3735552 4319232 4849664 4980736 5758976 7274496 7471104 8638464 9699328 11517952 14548992 14942208 17276928 23035904 29097984 34553856 46071808 69107712 92143616 138215424 184287232 276430848 552861696