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55157190 = 23511192463
BaseRepresentation
bin1101001001101…
…0000111000110
310211210021102220
43102122013012
5103110012230
65250113210
71236554064
oct322320706
9124707386
1055157190
1129153460
121657b806
13b5728ba
14747b034
154c97d10
hex349a1c6

55157190 has 96 divisors (see below), whose sum is σ = 152741376. Its totient is φ = 12640320.

The previous prime is 55157189. The next prime is 55157191. The reversal of 55157190 is 9175155.

It is an interprime number because it is at equal distance from previous prime (55157189) and next prime (55157191).

It is a super-2 number, since 2×551571902 = 6084631217392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55157191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118899 + ... + 119361.

It is an arithmetic number, because the mean of its divisors is an integer number (1591056).

Almost surely, 255157190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55157190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76370688).

55157190 is an abundant number, since it is smaller than the sum of its proper divisors (97584186).

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

55157190 is a wasteful number, since it uses less digits than its factorization.

55157190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 7875, while the sum is 33.

The square root of 55157190 is about 7426.7886734443. The cubic root of 55157190 is about 380.6571960815.

The spelling of 55157190 in words is "fifty-five million, one hundred fifty-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 361 418 463 570 627 722 926 1045 1083 1254 1389 1805 2090 2166 2315 2778 3135 3610 3971 4630 5093 5415 6270 6945 7942 8797 10186 10830 11913 13890 15279 17594 19855 23826 25465 26391 30558 39710 43985 50930 52782 59565 76395 87970 96767 119130 131955 152790 167143 193534 263910 290301 334286 483835 501429 580602 835715 967670 1002858 1451505 1671430 1838573 2507145 2903010 3677146 5014290 5515719 9192865 11031438 18385730 27578595 55157190